Answer:
Determine the domain and range of a logarithmic function.
Determine the x-intercept and vertical asymptote of a logarithmic function.
Identify whether a logarithmic function is increasing or decreasing and give the interval.
Identify the features of a logarithmic function that make it an inverse of an exponential function.
Graph horizontal and vertical shifts of logarithmic functions.
Graph stretches and compressions of logarithmic functions.
Graph reflections of logarithmic function
Step-by-step explanation:
Answer:
Option A.
Step-by-step explanation:
we have

Simplify the right side of the equation
we know that

so
The expression is

therefore
x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
Answer: Height = 4 centimeters
Area = 144 cm^2
Step-by-step explanation:
So we know that on a rectangle opposite sides are equal in distance.
If one side of the rectangle is 36 centimeters then that means the opposite side is also 36 centimeters.
36 + 36 = 72 centimeters
The perimeter is the sum of all sides, so two out of the four of our sides total to 72 centimeters. So the remaining length of both sides is as follows:
80 - 72 = 8
The sum of the remaining sides is 8 so divide it between the two and that is the height.
8/2 = 4
I'm not sure what the question wants so here is pretty much everything:
Height: 4 cm
Area: 144 cm^2
Answer:
7
Step-by-step explanation:
collect like terms
14=-a+3a
2a=14
dividing both sides
a=7
Let the first term be a(0). Then the formula for a(n) is a(0)-18(n-1).
Check: What's the first term? Let n = 1: a(1) = a(0)-18(1-1) = a(0) (correct)
What's the second term? Let -n =2: a(2) = a(0)-18(2-1) = a(0) - 18
and so on.